Answer:
9
Step-by-step explanation:
12^2+x^2=(x+6)^2
144+x^2=x^2+12x+36
12x=108
x=9
A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.
Step-by-step explanation:
Hi have a great day!! This is our answer. If it is wrong, apologies from our side.
What is the length of BD?
Answer:
D stays for 1 and as B is -6
the length of BD should be 7
good luck <3!
If you invest $1600 at 5% for 3 years, how much simple interest is earned? ***Look at your formula chart for the interest formula!!***
FOR 25 POINTS
Answer:
$240
Step-by-step explanation:
\(1600 \times .05 \times 3 = 240\)
A particle moves on the circle x2+y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dx/dt=6. What is the value of dy/dt at this time?
Answer:
\(\displaystyle y'=-\frac{9}{2}\)
Step-by-step explanation:
Differentiation
We have a relationship between x and y as follows:
\(x^2+y^2=25\)
Both variables depend on time t for t≥0.
Differentiating with respect to time:
\((x^2)'+(y^2)'=(25)'\)
Applying the derivative of a power function:
\(2xx'+2yy'=0\)
Recall the derivative of a constant is 0.
Dividing by 2:
\(xx'+yy'=0\)
Solving for y':
\(\displaystyle y'=-\frac{xx'}{y}\)
At some specific time, we have:
x=3, y=4, dx/dt = x' = 6. Substituting:
\(\displaystyle y'=-\frac{3\cdot 6}{4}\)
Operating:
\(\displaystyle y'=-\frac{18}{4}\)
Simplifying:
\(\mathbf{\displaystyle y'=-\frac{9}{2}}\)
The movement of the particle on the circle is its displacement
The value of dy/dt at this time is -9/2
The equation of the circle is given as:
\(\mathbf{x^2 + y^2 = 25}\)
Differentiate with respect to time
\(\mathbf{2x\times \frac{dx}{dt} + 2y \times \frac{dy}{dt} = 0}\)
Divide through by 2
\(\mathbf{x\times \frac{dx}{dt} + y \times \frac{dy}{dt} = 0}\)
At point (3,4);
x =3 and y = 4.
So, we have:
\(\mathbf{3 \times \frac{dx}{dt} + 4 \times \frac{dy}{dt} = 0}\)
Also: dx/dt = 6
So, we have:
\(\mathbf{3 \times 6 + 4 \times \frac{dy}{dt} = 0}\)
Multiply
\(\mathbf{18+ 4 \times \frac{dy}{dt} = 0}\)
Subtract 18 from both sides
\(\mathbf{4 \times \frac{dy}{dt} = -18}\)
Divide through by 4
\(\mathbf{\frac{dy}{dt} = -\frac{18}4}\)
Simplify
\(\mathbf{\frac{dy}{dt} = -\frac{9}2}\)
Hence, the value of dy/dt at this time is -9/2
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A company's income before interest expense and income taxes is $525,000 and its interest expense is $135,000. Its times interest earned ratio is : A.3.63 B 2.62 C.26 D 101 E.3.89
Its times interest earned ratio is = 3.89
What is Interest Earned Ratio?
Based on current income, the times interest earned (TIE) ratio assesses a company's capacity to service its debt. Earnings before interest and taxes (EBIT) divided by the total amount of bond and other debt interest payable is the calculation for a company's TIE number.
Times interest earned ratio formula = Income before interest and taxes / interest expenses
What is Income?
Income is the spending and saving opportunity acquired by an entity during a given time period, which is usually stated in monetary terms. Income is difficult to describe theoretically, as definitions vary across sectors.
= 525000 / 135000
= 3.89
Its ratio of times interest earned is 3.89.
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please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840Assume that when adults with smartphones are randomly selected 42% use them in meetings or classes. If 30 adult smartphones users are randomly selected find the probability that exactly 18 of them use their smartphones in meetings or classes
0.0095 is the probability that exactly 18 of them use their smartphones in meetings or classes.
How does probability explain work?
In a random experiment, probability is the indicator of how likely an occurrence is to take place. A number between 0 and 1 is used to quantify probability, with 1 roughly corresponding to certainty and 0 roughly indicating impossibility. The likelihood that an event will occur increases with its probability.Given that ,
p = 0.42
1 - p = 1 - 0.42 = 0.58
n = 30
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X = 19 ) = (30 C 19) * (0.42)19 * (0.58)11
= 0.009481
Probability = 0.0095
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Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
State the domain and range and determine if its a function?
Van is studying the effects of an indoor pool
temperature on the number of swimmers. He made
this histogram to display his data.
Which statement is best supported by the data?
A:The pool has the least number of swimmers
O when the temperature is between 71 and
75°F.
B:The temperature of the pool doesn't
influence the numbers of swimmers.
C:The pool has the greatest number of
swimmers when its temperature is between
81 and 85°F.
D:More people swim when the temperature of
the pool is the warmest.
Answer:
The answer is C
Step-by-step explanation:
hope this helps
What’s a cows favorite type of math?
Answer:
mooltiplication
The solution is, Multiplication is a cows favorite type of math.
What exactly is the Purple Cow Poem about?Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.
here, we have,
In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.
According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.
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I need help on this ?
Answer:
The Void
Step-by-step explanation:
no one can help you now
? (4x – 2) – 2 (3x + 3) = 9+2 (x + 4) true?
Answer:
No
Step-by-step explanation:
Let's plug x = 5
(20 - 2) - 2(15 + 3) = 9 + 2(5 + 4)
Simplify -->
18 - 30 + 6 = 9 + 10 + 8
--> -12 + 6 = -6 --> 19 + 8 = 27
-6 is not equal to 27
thus, it is false
[1] 2 (a) Using the information given in the advertisement shown, find the sale price of the table. Answer.... SALE All prices reduced by 30% Save $180 on this table
Based on the information given in the advertisement, we can conclude that the sale price of the table is $420.
Here's how we can arrive at this answer:
Let the original price of the table be represented by P.
We know that the sale price of the table is obtained by reducing the original price by 30%. Mathematically, this can be represented as:
Sale price = P - 0.3P
Simplifying this expression, we get:
Sale price = 0.7P
We are also given that the sale saves us $180 on this table. Mathematically, this can be represented as:
0.7P - P = -$180
Simplifying this expression, we get:
-0.3P = -$180
Dividing both sides by -0.3, we get:
P = $600
Therefore, the original price of the table was $600.
Using the equation for sale price that we derived earlier, we can now find the sale price of the table:
Sale price = 0.7P = 0.7 x $600 = $420
Hence, the sale price of the table is $420.
1.6.AP-13 Question Help 3 1 On a recent trip, Jeremy and Frank drove 790 miles on 335 gallons of gas. How many miles per gallon did their car get on this trip? The car got miles per gallon on this trip. (Type a whole number, proper fraction, or mixed number.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Review progress Question 13 of 24 Back Next →
Since the number of miles is 790
Since the number of gallons used for these miles is 33 1/3
Then we will divide the number of miles by the number of gallons
to get the number of miles per gallon
790 ÷ 33 1/3
At first, we should change the mixed number to an improper fraction
\(33\frac{1}{3}=\frac{33\times3+1}{3}=\frac{99+1}{3}=\frac{100}{3}\)Then let us divide them by changing the division sign by multiplication sign
and flip the fraction 100/3
\(790\text{ / }\frac{100}{3}=790\times\frac{3}{100}\)Let us multiply 790 by 3, then divide by 100
\(790\times3=3\times700+3\times90=2100+270=2370\)Then let us divide 2370 by 100
\(\frac{2370}{100}=\frac{237}{10}=23\frac{7}{10}\)The number of miles per gallon is 23 7/10
Angles A and B are complementary to each other. If mA = 130 + x and mB = 170 + x, what is the value of x?∠∠
Answer:
-105
Step-by-step explanation:
This means their measures add to 90 degrees, so:
(130+x)+(170+x)=90
300+2x=90
2x=-210
x=-105
The value of x in the expression for the measure of the complementary angle is -105.
What is the numerical value of x?Complementary angles are simply angles that sum up to 90 degrees.
Given the parameter:
Angles A and B are complementary.
Measure of angle A = 130 + x
Measure of angle B = 170 + x
Value of x =?
Since angles A and B are complementary, their sum should be equal to 90 degrees.
Hence:
Angles A + Angle B = 90
Plug in the expressions:
(130 + x) + (170 + x) = 90
Combine like terms:
x + x + 130 + 170
2x + 300 = 90
Subtract 300 from both sides:
2x + 300 - 300 = 90 - 300
2x = -210
x = -210/2
x = -105
Therefore, x has a value of -105.
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Plz help !!!!!! I don’t understand
PLEASE HELP!!! TIMED TEST!
Which pair of angles must be supplementary?
1 and 6
2 and 5
5 and 4
6 and 2
Answer:
ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .
ype the correct answer in the box. Spell the word correctly.
n the 1800s, European nations looked to control other countries in part to expand trade networks and establish global military bases. This
policy was known as
Reset
Next
Answer:This policy is known as COLONIZATION.
Colonization refers to the action of settling down among foreign indigenous people and establishing control over them. Politically, this action is usually carried out by powerful countries. The Europeans were able to colonize Africa, America and India.
Step-by-step explanation:
What is the solution to this equation?
3(4x + 3) = 2x-5(3-x)+2
Answer:
Step-by-step explanation:
Exact form: x = -22/5
Decimal form: x = -4.4
Mixed number form: x = -4 2/5
I'LL MARK THE BRAINLIEST
The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
whatz is avagadro no.
Construct a box-and-whisker
16, 12, 13, 14, 16, 18, 15, 17, 20, 12, 14, 15, 15
graph using the following data.
Given statement solution is :- Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:
Sort the data in ascending order:
12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20
Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:
Median = 15
Find the lower quartile (Q1), which is the median of the lower half of the data set.
Counting from the start, the lower half of the data set is:
12, 12, 13, 14, 14
Q1 = 13
Find the upper quartile (Q3), which is the median of the upper half of the data set.
Counting from the end, the upper half of the data set is:
17, 18, 20
Q3 = 18
Find the minimum and maximum values in the data set:
Minimum = 12
Maximum = 20
Now that we have the necessary values, we can construct the box-and-whisker plot:
lua
Copy code
| |
12 | -------------|
13 | |
14 | ----
15 | -------
16 | -------------|
17 | |
18 | ----
20 | |
|_________________|
In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).
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In a library, the ratio of maths books to science books is 3 : 2 and the ratio of science books to history books is 1 : 3. If the total number of books is 220, how many maths books are there?
Answer:
60 maths books
Step-by-step explanation:
Let the following be:
Maths books = mScience books = sHistory books = hAnd we have ratios and sum:
m/s = 3/2s/h = 1/3m+s+h = 220From the ratios we get:
m = 3s/2h= 3sConsidering the above in the sum of books:
m+s+h = 2203s/2 + s + 3s = 2203s + 2s + 6s = 2*22011s = 440s = 440/11s = 40Number of maths books:
m = 3s/2 = 3*40/2 = 60help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
What is the next term in the pattern? 1,1,5,17,71,247
Answer: 1085
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 13 friends to 19 friends
Answer:
15
Step-by-step explanation:
Four students are competing in a race. In how many different combinations could the four students place in the race?
"Combinations" isn't really the right word, because a combination doesn't take order of elements into account, and the outcome of a race certainly does depend on order. "Permutations" would be the correct term.
If 4 students are competing, then the race has
4! = 4 • 3 • 2 • 1 = 24
possible outcomes.
which equation represents the slope intercept form of the line when the y intercept is (0,-6) and the slope is -5
The values into the slope-intercept form, we have y = -5x - 6
The slope-intercept form of a linear equation is given by:
y = mx + b
where 'm' represents the slope of the line, and 'b' represents the y-intercept.
In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).
The slope is given as -5.
Therefore, substituting the values into the slope-intercept form, we have:
y = -5x - 6
This equation represents the line with a y-intercept of (0, -6) and a slope of -5.
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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